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Finding the Fourth Proportional to 2,088.84, 2,879.10 and 1,584.54

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Solution

The fourth proportional to 2,088.84, 2,879.10 and 1,584.54 is: 2,184.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.84 : 2,879.10 = 1,584.54 : x
  2. Step 2: Convert to fraction form
    2,088.84/2,879.10 = 1,584.54/x
  3. Step 3: Cross multiply
    2,088.84x = 2,879.10 × 1,584.54
  4. Step 4: Simplify right side
    2,088.84x = 4,562,049.11
  5. Step 5: Solve for x
    x = 4,562,049.11/2,088.84
  6. Step 6: Final answer
    x = 2,184.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.